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Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment

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Listed:
  • Cuong LE VAN

    (CNRS, CERSEM, Université Paris 1, France)

  • Yiannis VALAKIS

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

Abstract

We prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous and gross investment is constrained to be non negative. We do so by converting the infinite-dimensional fixed point problem stated in terms of prices and commodities into a finite-dimensional Negishi problem involving individual weights in a social value function. This method allows us to obtain detailed results concerning the properties of competitive equilibria. Because of the simplicity of the techniques utilized our approach is amenable to be adapted by practitioners in analogous problems often studied in macroeconomics

Suggested Citation

  • Cuong LE VAN & Yiannis VALAKIS, 2001. "Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment," LIDAM Discussion Papers IRES 2001018, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:2001018
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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Oded Galor & Hyoungsoo Zang, 1995. "Fertility, income distribution, and economic growth: Theory and cross-country evidence," Working Papers 95-01, Brown University, Department of Economics.
    3. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    4. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92, National Bureau of Economic Research, Inc.
    5. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    6. Sachs, Jeffrey D & Warner, Andrew M, 1997. "Fundamental Sources of Long-Run Growth," American Economic Review, American Economic Association, vol. 87(2), pages 184-188, May.
    7. Glomm, Gerhard & Ravikumar, B, 1992. "Public versus Private Investment in Human Capital Endogenous Growth and Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 818-834, August.
    8. Dahan, Momi & Tsiddon, Daniel, 1998. "Demographic Transition, Income Distribution, and Economic Growth," Journal of Economic Growth, Springer, vol. 3(1), pages 29-52, March.
    9. Galor, Oded & Zang, Hyoungsoo, 1997. "Fertility, income distribution, and economic growth: Theory and cross-country evidence," Japan and the World Economy, Elsevier, vol. 9(2), pages 197-229, May.
    10. Deininger, K & Squire, L, 1996. "Measuring Income Inequality : A New Data-Base," Papers 537, Harvard - Institute for International Development.
    11. Robert Haveman & Barbara Wolfe, 1995. "The Determinants of Children's Attainments: A Review of Methods and Findings," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1829-1878, December.
    12. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    13. Morand, Olivier F, 1999. "Endogenous Fertility, Income Distribution, and Growth," Journal of Economic Growth, Springer, vol. 4(3), pages 331-349, September.
    14. Perotti, Roberto, 1996. "Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-187, June.
    15. Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
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    More about this item

    Keywords

    One sector growth model; Pareto-optimum; Competitive equilibrium; Heterogeneous agents; Non negative gross investment;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

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